Solve the problem.The price p and x, the quantity of a certain product sold, obey the demand equation p = - x + 100, {x|0 ? x ? 1000}a) Express the revenue R as a function of x.b) What is the revenue if 450 units are sold?c) Graph the revenue function using a graphing utility.d) What quantity x maximizes revenue? What is the maximum revenue?e) What price should the company charge to maximize revenue?

What will be an ideal response?


a.R(x) = - x2 + 100x
b. R(450) = $24,750.00
c. 
 
d.500; $25,000.00
e. $50.00

Mathematics

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